N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2
Abstract We calculate the resummed perturbative free energy of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM4,4) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all inf...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2021)064 |
| _version_ | 1819083775290638336 |
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| author | Qianqian Du Michael Strickland Ubaid Tantary |
| author_facet | Qianqian Du Michael Strickland Ubaid Tantary |
| author_sort | Qianqian Du |
| collection | DOAJ |
| description | Abstract We calculate the resummed perturbative free energy of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM4,4) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over SYM4,4 ring diagrams. Non-analytic terms at O $$ \mathcal{O} $$ (λ 3/2) and O $$ \mathcal{O} $$ (λ 2 log λ) are generated by dressing the A 0 and scalar propagators. The gauge-field Debye mass m D and the scalar thermal mass M D are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of SYM4,4 to O $$ \mathcal{O} $$ (λ 2). We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large-N c strong-coupling result. Our results suggest that the O $$ \mathcal{O} $$ (λ 2) weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2. |
| first_indexed | 2024-12-21T20:37:55Z |
| format | Article |
| id | doaj.art-62c35b1e04a4481482e47afd93368119 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T20:37:55Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-62c35b1e04a4481482e47afd933681192022-12-21T18:51:03ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021812910.1007/JHEP08(2021)064N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2Qianqian Du0Michael Strickland1Ubaid Tantary2Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOS), Central China Normal UniversityDepartment of Physics, Kent State UniversityDepartment of Physics, Kent State UniversityAbstract We calculate the resummed perturbative free energy of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM4,4) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over SYM4,4 ring diagrams. Non-analytic terms at O $$ \mathcal{O} $$ (λ 3/2) and O $$ \mathcal{O} $$ (λ 2 log λ) are generated by dressing the A 0 and scalar propagators. The gauge-field Debye mass m D and the scalar thermal mass M D are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of SYM4,4 to O $$ \mathcal{O} $$ (λ 2). We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large-N c strong-coupling result. Our results suggest that the O $$ \mathcal{O} $$ (λ 2) weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2.https://doi.org/10.1007/JHEP08(2021)064ResummationSupersymmetric Gauge Theory |
| spellingShingle | Qianqian Du Michael Strickland Ubaid Tantary N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 Journal of High Energy Physics Resummation Supersymmetric Gauge Theory |
| title | N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 |
| title_full | N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 |
| title_fullStr | N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 |
| title_short | N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ 2 |
| title_sort | n mathcal n 4 supersymmetric yang mills thermodynamics to order λ 2 |
| topic | Resummation Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP08(2021)064 |
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